539145090225 has 405 divisors, whose sum is σ = 1202286946497. Its totient is φ = 239805074880.

The previous prime is 539145090223. The next prime is 539145090271. The reversal of 539145090225 is 522090541935.

The square root of 539145090225 is 734265.

It is a perfect power (a square), and thus also a powerful number.

539145090225 is a `hidden beast` number, since 5 + 3 + 91 + 450 + 90 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51181370289 + 487963719936 = 226233^2 + 698544^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 539145090225 - 2¹ = 539145090223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (539145090223) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 14571488907 + ... + 14571488943.

Almost surely, 2^539145090225 is an apocalyptic number.

539145090225 is the 734265-th square number.

539145090225 is the 367133-rd centered octagonal number.

It is an amenable number.

539145090225 is an abundant number, since it is smaller than the sum of its proper divisors (663141856272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

539145090225 is an frugal number, since it uses more digits than its factorization.

539145090225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 539145090225 in words is "five hundred thirty-nine billion, one hundred forty-five million, ninety thousand, two hundred twenty-five".